What is the Least Common Multiple of 42552 and 42568?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 42552 and 42568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42552 and 42568, than apply into the LCM equation.

GCF(42552,42568) = 8
LCM(42552,42568) = ( 42552 × 42568) / 8
LCM(42552,42568) = 1811353536 / 8
LCM(42552,42568) = 226419192

Least Common Multiple (LCM) of 42552 and 42568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42552 and 42568. First we will calculate the prime factors of 42552 and 42568.

Prime Factorization of 42552

Prime Factorization of 42568

Now multiplying the highest exponent prime factors to calculate the LCM of 42552 and 42568.

LCM(42552,42568) = 2³ × 3³ × 197¹ × 17¹ × 313¹
LCM(42552,42568) = 226419192